7x-3(2x-4)x=5x

Solution for 7x-3(2x-4)x=5x equation:

7x-3(2x-4)x=5x

We move all terms to the left:

7x-3(2x-4)x-(5x)=0

We add all the numbers together, and all the variables

2x-3(2x-4)x=0

We multiply parentheses

-6x^2+2x+12x=0

We add all the numbers together, and all the variables

-6x^2+14x=0

a = -6; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-6)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-6}=\frac{-28}{-12}
=2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-6}=\frac{0}{-12}
=0
$